Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
334 conjugacy classes of subgroups; only the 61 normal subgroups are shown.
This group has 334 conjugacy classes of subgroups — too many to draw. Only its 61 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. C2×D13×D16 | C2 | semidirect |
| 2. C2×#11718111 | C2 | semidirect |
| 3. #13116919 | C2 | semidirect |
| 4. #13113015 | C2 | semidirect |
| 5. #13113014 | C2 | semidirect |
| 6. #13112973 | C2 | semidirect |
| 7. C2×C13×D32 | C2 | semidirect |
| 10. C2×C13×D16 | C22 | semidirect |
| 18. C2×C13×C32 | C22 | semidirect |
| 21. #11718096 | C22 | semidirect |
| 22. C2×#88034 | C22 | semidirect |
| 35. C13×D16 | D4 | semidirect |
| 42. D208 | D4 | semidirect |
| 75. C2×D32 | D13 | semidirect |
| 109. C2×D16 | C2×D13 | semidirect |
| 115. C2×C32 | C2×D13 | semidirect |
| 131. C2×D13 | D32 | semidirect |
| 151. D16 | C22⋊D13 | semidirect |
| 192. C13 | #13661 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×D13×D16 | 2 |
| C2×#11718111 | 2 |
| #13116919 | 2 |
| #13113015 | 2 |
| #13113014 | 2 |
| #13112973 | 2 |
| C2×C13×D32 | 2 |
| #13661 | 13 |